From the bash man page
FILES
/bin/bash
The bash executable
/etc/profile
The systemwide initialization file, executed for login shells
/etc/bash.bashrc
The systemwide per-interactive-shell startup file
/etc/bash.bash.logout
The systemwide login shell cleanup file, executed when a login shell exits
~/.bash_profile
The personal initialization file, executed for login shells
~/.bashrc
The individual per-interactive-shell startup file
~/.bash_logout
The individual login shell cleanup file, executed when a login shell exits
~/.inputrc
Individual readline initialization file
You will want to check the systemwide files and see if they are referencing rvm. If you are the only user on your system (it is your workstation or your home computer), feel free to modify these files to remove the rvm reference (assuming you aren't using rvm anymore). Otherwise, ask your system administrator to fix the execution environment.
More information on rvm can be found here, and your online manual pages can provide more details about what files bash reads by default.
Failing all of the above, a quick and dirty hack would be to execute
touch /etc/profile.d/rvm.sh
as a user with the appropriate permissions.